Sharp global nonlinear stability for temperature-dependent viscosity convection

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 458, Issue 2023, 2002, Pages 1773-1782

  Straughan, Brian ^a  

^a DURHAM UNIVERSITY   (United Kingdom)

Author keywords

Ladyzhenskaya's models; Temperature dependent viscosity; Thermal convection; Unconditional stability

Indexed keywords

EID: 57249113631     PISSN: 13645021     EISSN: None     Source Type: Journal    
DOI: 10.1098/rspa.2001.0945     Document Type: Article

References (20)

1. Nonlinear stability analysis of convection for fluids with exponentially temperature-dependent viscosity
2. Nonlinear stability analysis of the Bénard problem for fluids with a convex nonincreasing temperature depending viscosity
3. On the Boussinesq system with nonlinear thermal diffusion
4. Existence and uniqueness of solutions to the Boussinesq system with nonlinear thermal diffusion
5. Asymptotic and other properties of a nonlinear diffusion model
6. Nonlinear stability for a thermofluid in a vertical porous slab
7. The Bénard problem for nonlinear heat conduction: Unconditional stability
8. Spatial and time localization of solutions of the Boussinesq system with nonlinear thermal diffusion
9. New equations for the description of motions of viscous incompressible fluids and global solvability of their boundary value problems
10. On some nonlinear problems in the theory of continuous media
11. Global stability in the Bénard problem for a mixture with superimposed plane parallel shear flows
12. Unconditional nonlinear stability in temperature-dependent viscosity flow in a porous medium
13. Continuous dependence and convergence results for Brinkman and Forchheimer models with variable viscosity
14. Nonlinear convective stability in a porous medium with temperature-dependent viscosity and inertial drag
15. A sharp nonlinear stability threshold in rotating porous convection